3 years ago

13 The diagram shows nine identical squares inside a rectangle.

Mathematics

1 answer:

Andrews [41]3 years ago

4 0

Answer:

5...is the width of the rectangle .

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What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?

ioda

Answer:

Step-by-step explanation:

$-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1$